GCD of 108, 950, 960 Calculator

Given Input numbers are 108, 950, 960

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 108, 950, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 950, 960 is 2.

Therefore, GCD of numbers 108, 950, 960 is 2

Given Input Data is 108, 950, 960

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(108, 950) = 51300

GCD(108, 950) = ( 108 x 950 ) / 51300

GCD(108, 950) = 102600 / 51300

GCD(108, 950) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 960

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

GCD(2, 960) = 1920 / 960

GCD(2, 960) = 2

GCD of 108, 950, 960 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 127, 328, 290
• GCD of 911, 453, 848
• GCD of 910, 458, 369
• GCD of 464, 172, 515
• GCD of 630, 219, 330

1. What is the GCD of 108, 950, 960?

GCD of 108, 950, 960 is 2

2. Where do I get the detailed procedure to find GCD of 108, 950, 960?

You can find a detailed procedure to find GCD of 108, 950, 960 on our page.

3. How to find GCD of 108, 950, 960 on a calculator?

You can find the GCD of 108, 950, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.